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This paper discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Peter K. F. Kuhfittig

We present a mimetic finite-difference approach for solving Maxwell's equations in one and two spatial dimensions. After introducing the governing equations and the classical Finite-Difference Time-Domain (FDTD) method, we describe mimetic…

Numerical Analysis · Mathematics 2026-03-24 Johnny Corbino

New universal invariant operators are introduced in a class of geometries which include the quaternionic structures and their generalisations as well as 4-dimensional conformal (spin) geometries. It is shown that, in a broad sense, all…

Differential Geometry · Mathematics 2009-10-31 A. R. Gover , J. Slovak

We show that Euclidean axion wormholes in theories of gravity coupled to a single axion have several independent inhomogeneous perturbations that lower the Euclidean action. Our analysis relies on a judiciously chosen gauge-invariant…

High Energy Physics - Theory · Physics 2019-08-28 Thomas Hertog , Brecht Truijen , Thomas Van Riet

In this work we show the existence of traversable wormhole and time-machine solutions in a modified theory of gravity where matter and curvature are nonminimally coupled. Those solutions present a nontrivial redshift function and exist even…

High Energy Physics - Theory · Physics 2013-10-24 Orfeu Bertolami , Ricardo Zambujal Ferreira

Two spherically symmetric, static Lorentzian wormholes are obtained in tetrad theory of gravitation as a solution of the equation $\rho=\rho_t=0$, where $\rho=T_{ij}u^iu^j, \rho_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$ and $u^iu_i=-1$. This equation…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Gamal Gergess Lamee Nashed

The construction of the master T-operator recently suggested in Alexandrov et al. (arXiv:1112.3310) is applied to integrable vertex models and associated quantum spin chains with trigonometric R-matrices. The master T-operator is a…

Mathematical Physics · Physics 2015-06-05 A. Zabrodin

Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. Operads are mathematical devices to describe operations, that is, $n$-ary operations for all $n$ greater than or equal…

High Energy Physics - Theory · Physics 2008-02-03 Yi-Zhi Huang , James Lepowsky

We analyse the properties of Wilson loop observables for holographic gauge theories, when the dual bulk geometries have a single and/or multiple boundaries (Euclidean spacetime wormholes). Such observables lead to a generalisation and…

High Energy Physics - Theory · Physics 2024-03-01 Panos Betzios , Olga Papadoulaki

It is shown in the first part of this paper that a combined model comprising ordinary and quintessential matter can support a traversable wormhole in Einstein-Maxwell gravity. Since the solution allows zero tidal forces, the wormhole is…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Peter K. F. Kuhfittig

We are presenting a quantum traversable wormhole in an exactly soluble two-dimensional model. This is different from previous works since the exotic negative energy that supports the wormhole is generated from the quantization of classical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Won Tae Kim , Edwin J. Son , Myung Seok Yoon

By using the metric projection onto a closed self-dual cone of the Euclidean space, M. S. Gowda, R. Sznajder and J. Tao have defined generalized lattice operations, which in the particular case of the nonnegative orthant of a Cartesian…

Functional Analysis · Mathematics 2013-01-28 A. B. Németh , S. Z. Németh

This work is the first step in a two-part investigation of real-time replica wormholes. Here we study the associated real-time gravitational path integral and construct the variational principle that will define its saddle-points. We also…

High Energy Physics - Theory · Physics 2021-06-23 Sean Colin-Ellerin , Xi Dong , Donald Marolf , Mukund Rangamani , Zhencheng Wang

We study the properties of shifted vertex operator algebras, which are vertex algebras derived from a given theory by shifting the conformal vector. In this way, we are able to exhibit large numbers of vertex operator algebras which are…

Quantum Algebra · Mathematics 2007-05-23 Chongying Dong , Geoffrey Mason

As was discovered some time ago by Giddings and Strominger (GS), an axion can support a wormhole geometry in the presence of a massless dilaton, as long as the dilaton coupling remains below a critical value. We find that when the dilaton…

High Energy Physics - Theory · Physics 2023-06-21 Caroline Jonas , George Lavrelashvili , Jean-Luc Lehners

We consider a vector gauge theory in 2 + 1 dimensions of the type recently proposed by Radzihovsky and Hermele [1] to describe fracton phases of matter. The theory has U(1)XU(1) vector gauge fields coupled to an additional vector field with…

High Energy Physics - Theory · Physics 2020-12-02 G. Lozano , F. A. Schaposnik

We give an explicit formula for an operator that sends a wreath Macdonald polynomial to the delta function at a character associated to its partition. This allows us to prove many new results for wreath Macdonald polynomials, especially…

Quantum Algebra · Mathematics 2025-05-22 Marino Romero , Joshua Jeishing Wen

In this paper we give an electrically charged traversable wormhole solution for the Einstein-Maxwell-dilaton theory when the dilaton is a phantom field, i.e. it has flipped sign kinetic term appearing in the action. In the limit when the…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Prieslei Goulart

This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a…

Mathematical Physics · Physics 2015-01-27 Hendrik De Bie , David Eelbode , Matthias Roels

We construct the integrated vertex operator for the first massive states of open superstrings with $(mass)^2=1/\alpha'$ in the pure spinor formalism of the superstring theory. This vertex operator is expressed in terms of the ten…

High Energy Physics - Theory · Physics 2018-12-04 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Mritunjay Verma
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